000 02676nam a22003498i 4500
001 CR9781139567862
003 UkCbUP
005 20200124160251.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 120810s2013||||enk o ||1 0|eng|d
020 _a9781139567862 (ebook)
020 _z9781107036598 (hardback)
020 _z9781107610774 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA9
_b.V66 2013
082 0 0 _a511.3
_223
100 1 _aVon Plato, Jan,
_eauthor.
245 1 0 _aElements of logical reasoning /
_cJan von Plato.
264 1 _aCambridge :
_bCambridge University Press,
_c2013.
300 _a1 online resource (ix, 264 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 01 Feb 2016).
505 8 _aMachine generated contents note: Part I. First Steps in Logical Reasoning: 1. Starting points; 2. Rules of proof; 3. Natural deduction; 4. Proof search; 5. Classical natural deduction; 6. Proof search in classical logic; 7. The semantics of propositional logic; Part II. Logical Reasoning with the Quantifiers: 8. The quantifiers; 9. Derivations in predicate logic; 10. The semantics of predicate logic; Part III. Beyond Pure Logic: 11. Equality and axiomatic theories; 12. Elements of the proof theory of arithmetic; Part IV. Complementary Topics: 13. Normalization and cut elimination; 14. Deductive machinery from Aristotle to Heyting.
520 _aSome of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.
650 0 _aLogic, Symbolic and mathematical.
650 0 _aReasoning.
776 0 8 _iPrint version:
_z9781107036598
856 4 0 _uhttps://doi.org/10.1017/CBO9781139567862
999 _c519467
_d519465